JEE Advanced 2022 Mathematics question

MathematicsThree Dimensional GeometryJEE Advanced 2022

Let be the reflection of a point with respect to the plane given by

= -(t + p) + t + (1 + p)

where are real parameters and are the unit vectors along the three positive coordinate axes. If the position vectors of and are and respectively, then which of the following is/are TRUE ?

Answer: (A),(B),(C)

Solution

For points of the plane , , , so . Reflection of : and $S = Q-2λ(1,1,1) =

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Question ID VK-033965